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Finding the Fourth Proportional to 1,300,607,713.86, 1,794,840,422.50 and 705,892,207.36

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Solution

The fourth proportional to 1,300,607,713.86, 1,794,840,422.50 and 705,892,207.36 is: 974,132,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,607,713.86 : 1,794,840,422.50 = 705,892,207.36 : x
  2. Step 2: Convert to fraction form
    1,300,607,713.86/1,794,840,422.50 = 705,892,207.36/x
  3. Step 3: Cross multiply
    1,300,607,713.86x = 1,794,840,422.50 × 705,892,207.36
  4. Step 4: Simplify right side
    1,300,607,713.86x = 1,266,963,867,697,479,936
  5. Step 5: Solve for x
    x = 1,266,963,867,697,479,936/1,300,607,713.86
  6. Step 6: Final answer
    x = 974,132,210.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.